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Finding the Third Proportional to 113,720,492 and 166,315,766

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Solution

The third proportional to 113,720,492 and 166,315,766 is: 243,236,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,720,492 : 166,315,766 = 166,315,766 : x
  2. Step 2: Convert to fraction form
    113,720,492/166,315,766 = 166,315,766/x
  3. Step 3: Cross multiply
    113,720,492x = 166,315,766 × 166,315,766
  4. Step 4: Simplify right side
    113,720,492x = 27,660,934,020,166,756
  5. Step 5: Solve for x
    x = 27,660,934,020,166,756/113,720,492
  6. Step 6: Final answer
    x = 243,236,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.